Find the x and the m

14=x

<N =51

Step-by-step explanation:

A parallelogram has the two opposite angles equal.

<K = <M

8x+17 = 12x-39

Subtract 8x from each side

8x+17-8x = 12x-8x-39

17 = 4x-39

Add 39 to each side

17+39 = 4x-39+39

56 = 4x

Divide by 4

56/4 = 4x/4

14=x

Now find angle N

We know consecutive angles are supplementary.

<N + < M = 180

<N + 12x-39 = 180

<N + 12 (14) -39 = 180

<N +168 -39 = 180

<N +129 = 180

<N +129-129 = 180-129

<N =51

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

the answer for your question is

step-by-step explanation: